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The purpose of this paper is to construct non-trivial cocycles of the space$Emb(\mathbb{R}^j, \mathbb{R}^{n})$ of long embeddings. We construct thecocycles by integral over configuration spaces, associated withBott-Cattaneo-Rossi graphs with more than one loop. As an application, we giveexplicitly a non-trivial family of trivial long embeddings for odd $n,j$ with$n-j \geq 2$ and $j \geq 3$. This family (cycle) is constructed from a chorddiagram on directed lines. The non-triviality is shown by cocycle-cycle paring,described by paring between graphs and chord diagrams.

Cocycles of the space of long embeddings and BCR graphs with more than one loop